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CBSE Class 12 · 2011 · Indefinite IntegralsVery Short Answer

Write the value of

\int sec x (sec x + tan x) d x

Answer: $tan x + sec x + C$

Solution

Expand the product:

\int sec x (sec x + tan x) d x = \int sec^{2} x d x + \int sec x tan x d x .

Each piece is a standard integral:

tan x + sec x + C

CBSE Class 12 Board · 2011 · Subjective

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